非局部两分量耦合复可积无色散方程的孤子解
Soliton Solutions of Nonlocal Two-Component Coupled Complex Integrable Dispersionless Equations
摘要: 本文提出了一种非局部两分量耦合复可积无色散方程。利用达布变换方法得到了零种子解和非零种子解两种情况下，非局部两分量耦合复可积无色散方程的孤子解。
Abstract: In this paper, a nonlocal two-component complex coupled integrable dispersionless equation is proposed. The soliton solutions of nonlocal two-component coupled complex integrable dispersion-less equations are obtained by using darboux transformation method under two cases of zero seed solution and non-zero seed solution.
文章引用：付晨晨. 非局部两分量耦合复可积无色散方程的孤子解[J]. 应用数学进展, 2022, 11(5): 2703-2710. https://doi.org/10.12677/AAM.2022.115286

参考文献

[1] Konno, K. and Oono, H. (1994) New Coupled Integrable Dispersionless Equations. Journal of the Physical Society of Japan, 63, 377-378. [Google Scholar] [CrossRef] 
[2] Alagesan, T. and Porsezian, K. (1996) Painleve Analysis and the Integrability Properties of Coupled Integrable Dispersionless Equations. Chaos, Solitons & Fractals, 7, 1209-1212. [Google Scholar] [CrossRef] 
[3] Kakuhata, H. and Konno, K. (1999) Loop Soliton Solutions of String Interacting with External Field. Journal of the Physical Society of Japan, 68, 757-762. [Google Scholar] [CrossRef] 
[4] Hirota, R. and Tsujimoto, S. (1994) Note on New Coupled Integrable Dispersionless Equations. Journal of the Physical Society of Japan, 63, 3533. [Google Scholar] [CrossRef] 
[5] Konno, K. and Oono, H. (1994) Reply to Note on New Coupled Inte-grable Dispersionless Equations. Journal of the Physical Society of Japan, 63, 3534. [Google Scholar] [CrossRef] 
[6] Kotlyarov, V.P. (1994) On Equations Gauge Equivalent to the Si-ne-Gordon and Pohlmeyer-Lund-Regge Equations. Journal of the Physical Society of Japan, 63, 3535-3537. [Google Scholar] [CrossRef] 
[7] Konno, K. (1995) Integrable Coupled Dispersionless Equations. Appli-cable Analysis, 57, 209-220. [Google Scholar] [CrossRef] 
[8] Kakuhata, H. and Konno, K. (1996) A Generalization of Cou-pled Integrable Dispersionless System. Journal of the Physical Society of Japan, 65, 340-341. [Google Scholar] [CrossRef] 
[9] Peregrine, D.H. (1983) Water Waves, Nonlinear Schrödinger Equations and Their Solutions. The ANZIAM Journal, 25, 16-43. [Google Scholar] [CrossRef] 
[10] Akhmediev, N., Ankiewicz, A. and Soto-Crespo, J.M. (2009) Rogue Waves and Rational Solutions of the Nonlinear Schrödinger Equation. Physical Review E, 80, Article ID: 026601. [Google Scholar] [CrossRef] 
[11] Akhmediev, N., Ankiewicz, A. and Taki, M. (2009) Waves That Appear from Nowhere and Disappear without a Trace. Physics Letters A, 373, 675-678. [Google Scholar] [CrossRef] 
[12] Ankiewicz, A., Kedziora, D.J. and Akhmediev, N. (2011) Rogue Wave Triplets. Physics Letters A, 375, 2782-2785. [Google Scholar] [CrossRef] 
[13] Yan, Z.Y. (2010) Financial Rogue Waves. Communications in Theoretical Physics, 54, 947-949. [Google Scholar] [CrossRef] 
[14] Yoshimasa, M. (2007) Multiloop Soliton and Multibreather Solu-tions of the Short Pulse Model Equation. Journal of the Physical Society of Japan, 76, Article ID: 084003. [Google Scholar] [CrossRef] 
[15] Feng, B.F. (2015) Complex Short Pulse and Coupled Complex Short Pulse Equations. Physica D: Nonlinear Phenomena, 297, 62-75. [Google Scholar] [CrossRef] 
[16] Shen, S.F., Feng, B.F. and Ohta, Y. (2016) From the Real and Complex Coupled Dispersionless Equations to the Real and Complexshort Pulse Equations. Studies in Applied Mathe-matics, 136, 64-88. [Google Scholar] [CrossRef] 
[17] Ling, L., Feng, B.F. and Zhu, Z.N. (2016) Mul-ti-Soliton, Multi-Breather and Higher Order Rogue Wave Solutions to the Complex Short Pulse Equation. Physica D: Nonlinear Phenomena, 327, 62-75. [Google Scholar] [CrossRef] 
[18] Feng, B.F., Ling, L. and Zhu, Z.N. (2016) Defocusing Complex Short-Pulse Equation and Its Multi-Dark-Soliton Solution. Physical Review E, 93, Article ID: 052227. [Google Scholar] [CrossRef] 
[19] Ji, J.L., Huang, Z.L. and Zhu, Z.N. (2017) Reverse Space and Time Nonlocal Coupled Dispersionless Equation and Its Solutions. Annals of Mathematical Sciences and Applications, 2, 409-429. [Google Scholar] [CrossRef] 

为你推荐